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AP Statistics Chapter 5 Section 3. Chance Toss coin 10 times. What is the likelihood of a run of 3 or more consecutive heads or tails? A couple plans.

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Presentation on theme: "AP Statistics Chapter 5 Section 3. Chance Toss coin 10 times. What is the likelihood of a run of 3 or more consecutive heads or tails? A couple plans."— Presentation transcript:

1 AP Statistics Chapter 5 Section 3

2 Chance Toss coin 10 times. What is the likelihood of a run of 3 or more consecutive heads or tails? A couple plans to have children until they have a girl or until they have 4 children, whichever comes first. What are the chances that they will have a girl among their children? An airline knows from past experience that a certain % of customers who have purchased tickets will not show up to board the airplane. If the airline “overbooks” a particular flight, what are the chances that the airline will encounter more ticketed passengers than they have seats for?

3 Look into the future… Start with a model that, in some fashion, reflects the truth about the experiment, and then develop a procedure for imitating – or simulating – a number of repetitions of the experiment. REALLY GOOD FOR AP EXAM!

4 What is the probability that a couple will have a girl among their first four children? 1 – girl 2 – boy G, G, G, G B, B, B, G G, B, G, G B, G, G, G B, G, B, B G, B, G, G 6/6 times in this simulation girl children were in the first four children. 100%

5 Simulation 1.State the problem or describe the experiment. What is the likelihood of having a girl child in the first 4 children in a family? 2.State the assumptions. ~50% chance male, 50% female ~The genders of consecutive children in the same family are independent events 3.Assign digits to represent the outcomes. 1 – girl, 2 – boy 4.Simulate many repetitions. 5.State your conclusions. 6/6 or 100% of the time at least one female child was born within the first four children.

6 Randomly choose a person from… A group of which 50% are employed, 20% are unemployed, and 30% are not in the labor force. Assumptions: Each group is independent of the other groups. (emp., unemp., not in l.f.) Label: 0,1,2,3,4 represent employed 5, 6 represent unemployed 7,8,9 represent not in the work force

7 My sample would be of 10 randomly selected people: 5 employed & 1 unemployed & 4 not in the labor force.

8 Type in FREETHRO Pg. 295


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